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Blocked two-level regular factorial designs with weak minimum aberration

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  • Shengli Zhao
  • Pengfei Li
  • Rohana Karunamuni

Abstract

This paper considers the construction of blocked two-level regular designs with weak minimum aberration. We first obtain the minimum value of the number of two-factor interactions which are aliased with the block effects. Based on this result, two methods are then proposed in two different scenarios to construct weak minimum aberration blocked two-level designs with respect to some existing combined wordlength patterns. Copyright 2013, Oxford University Press.

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  • Shengli Zhao & Pengfei Li & Rohana Karunamuni, 2013. "Blocked two-level regular factorial designs with weak minimum aberration," Biometrika, Biometrika Trust, vol. 100(1), pages 249-253.
    • Handle: RePEc:oup:biomet:v:100:y:2013:i:1:p:249-253
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    File URL: http://hdl.handle.net/10.1093/biomet/ass061
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    Cited by:

    1. Shengli Zhao & Qianqian Zhao, 2021. "Minimum aberration blocked designs with multiple block variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(2), pages 121-140, February.
    2. J. D. Godolphin, 2021. "Construction of blocked factorial designs to estimate main effects and selected two‐factor interactions," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 83(1), pages 5-29, February.
    3. Qianqian Zhao & Shengli Zhao, 2019. "Some results on two-level regular designs with multi block variables containing clear effects," Statistical Papers, Springer, vol. 60(5), pages 1569-1582, October.

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